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British Journal of Radiology (2006) 79, 756-761
© 2006 British Institute of Radiology
doi: 10.1259/bjr/57359387

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Full paper

A mathematical model for patient skin dose assessment in cardiac catheterization procedures

R E Morrell, PhD, MIPEM and A T Rogers, MSc, MIPEM

Medical Physics and Clinical Engineering, City Hospital Campus, Nottingham University Hospitals NHS Trust, Hucknall Road, Nottingham NG5 1PB, UK


    Abstract
 Top
 Abstract
 Introduction
 Method
 Results
 Discussion
 Conclusion
 References
 
A mathematical model has been developed for the assessment of patient skin doses from cardiac catheterization procedures. This uses exposure and projection data stored in the DICOM image files. Since these contain only information about the acquisition runs, a correction is needed to estimate and include the contribution from fluoroscopy. Maximum skin doses calculated by the model were found to correlate well with those measured on Kodak EDR2 film. Three methods for including the contribution from fluoroscopy were investigated, and all successfully identified patients receiving skin doses in excess of 1 Gy. It is hoped to automate this tool for routine assessment of skin doses in our cardiac catheterization laboratories.


    Introduction
 Top
 Abstract
 Introduction
 Method
 Results
 Discussion
 Conclusion
 References
 
Cardiac catheterization procedures can result in high radiation doses to the patient's skin, sufficient to cause deterministic effects [16]. In order to comply with the recommendations of the International Commission on Radiological Protection [7], a robust method for routine assessment of patient skin dose is needed.

Dose–area product (DAP) alone is not an adequate indicator of skin dose, since in many cases there is a poor correlation between the two quantities [812]. Slow radiographic film can be used to measure the dose distribution across the patient's skin. However, its useful range is limited by its saturation point. Kodak EDR2 film (Eastman Kodak Company, Rochester, NY) has previously been used for skin dosimetry [1214], and is the least sensitive of the slow films designed for portal imaging and quality control in radiotherapy. However, it saturates at around 1 Gy to 1.5 Gy, depending on the processing conditions applied [1315]. There is now a growing range of "Gafchromic" films (International Specialty Products, Wayne, NJ), which saturate at higher radiation doses and do not require processing, but at present these are much more expensive than those in the Kodak range. Smaller detectors such as thermoluminescent dosemeters and scintillation detectors cover only a small area, so are liable to miss the region of maximum dose.

In modern cardiac catheterization laboratories, information about the exposure parameters is stored in the DICOM file for each image series. The DICOM standard [16] specifies fields for data such as the number of frames in the series, angulation of the X-ray imaging unit, detector position and field size, imaging mode, beam energy and tube current. If these fields are populated, they allow the position and magnitude of the radiation dose to the patient's skin to be estimated, for each image series. Since fluoroscopic images are not usually stored, this detailed dose information is only available for the acquisition runs.

The purpose of this study was to develop a mathematical model to calculate the skin dose distribution across the patient's back, using the exposure and projection data stored in the image files. Maximum skin doses predicted by the model were compared with film dosimetry measurements for coronary angiography (CA) and percutaneous transluminal coronary angioplasty (PTCA) procedures. Three methods for including an estimated contribution from fluoroscopy were investigated.


    Method
 Top
 Abstract
 Introduction
 Method
 Results
 Discussion
 Conclusion
 References
 
The dose model was developed in Matlab version 7 (The Mathworks, Inc., Natick, MA). It was designed to extract and use the data from DICOM image files from an Integris H5000F C-arm imaging unit (Philips Medical Systems, Best, The Netherlands).

The dose model
The exposure information is first extracted from all of the image files in the patient examination folder, and written to a structure array. An example of these data is shown in Table 1Go. Each row relates to one file, i.e. one image series. The columns contain the series or run number (Run), number of frames in that series (Frames), imaging protocol (Protocol), peak beam kilovoltage (kVp), tube current (mA), pulse width (ms), primary and secondary angles describing the orientation of the imaging unit in degrees (Ang1 and Ang2), source to image distance in millimetres (SID) and detector field size in millimetres (II).


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Table 1. Example of exposure data extracted from DICOM image files

 
"Ang1" relates to left–right rotation of the gantry, and is positive for left anterior oblique and left lateral views, when the detector is towards the patient's left-hand side. "Ang2" describes craniocaudal rotation, and is positive when the detector is closer to the patient's head.

Additional data required by the model are:



Formula 001

The entrance dose rate to the phantom was measured using a Radcal 9010 series dosemeter, with a 60 cm3 ionization chamber (Radcal, Monrovia, CA), as shown in Figure 1Go. The standard clinical acquisition mode (12.5 FPS Coronary) was used. This mode does not employ any copper filtration.


Figure 1
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Figure 1. Set-up for determining the entrance dose rate to phantom. PMMA, polymethyl methacrylate; fsd, as used in Equation (1).

 
Since the imaging unit stores no information about couch position, the model assumes that the couch remains at a fixed height throughout the procedure, and that no panning is used.

The dose distribution is calculated at 1 mm intervals in a plane at the height of the couch top, that extends from –30 cm to +30 cm in the x (cross-couch) direction and –20 cm to +20 cm in the y (parallel to couch axis) direction. Positive x is defined towards the right-hand side of the patient, and positive y towards the patient's head, so that the dose map appears as though viewing the patient from behind.

For each acquisition run, the position of the focal spot (xspot, yspot, zspot) is calculated in Cartesian coordinates, using Equations (2) to (4).


Formula 002



Formula 003



Formula 004

The distance (ffd, in centimetres) from the focal spot to each point in the plane is then calculated using Pythagoras' law. The dose at each point on the film, in the absence of beam collimation, would be:


Formula 005

where kVp2, mA, ms and frames are taken from the DICOM file for that particular run.

Beam limitation is calculated assuming square radiation fields, and ignoring any secondary collimation applied by the user. The angle ({theta}) between the beam central axis and its collimated outer edge is calculated from the field size and SID.

"SIDcoll" is the radius of a sphere centred at the focal spot that passes through the four corners of the collimated field, at the detector face. It is calculated from field size and SID, using Pythagoras' law. The positions of the field corners at the detector face are calculated in Cartesian coordinates, using Equations (6) to (8).


Formula 006



Formula 007



Formula 008

They are then translated from the detector face onto the plane of the couch top, by means of scaling.


Formula 009



Formula 0010

To apply the collimation, the values of the dose array are set to zero at all locations outside the trapezium formed by these four points.

The completed dose maps from each run are summed to give a total dose array, which is then displayed as a filled contour map.

The model described above considers only the acquisition run data, which is stored in the image files. In clinical practice, some examinations involve extended fluoroscopy times, and where fluoroscopy is performed primarily in one projection this can raise the maximum skin dose considerably. Three options for estimating and including the contribution from fluoroscopy were investigated.

  1. Dose–area product. The DAP was calculated from the exposure parameters for each acquisition run, and summed to give acquisition DAP for the whole procedure. The final dose map was multiplied by the ratio of displayed total DAP to calculated acquisition DAP.
  2. Fluoroscopy time. The entrance dose rate to the 20 cm PMMA phantom in the standard fluoroscopy mode (Low Fluoro), at the 23 cm field size, with an SID of 100 cm and fsd of 67 cm has been measured as approximately 40 mGy min–1. The fluoroscopy time (in minutes) was divided by the number of runs, multiplied by this dose rate, and added to the dose array for each run, before applying beam collimation.
  3. Concentration factor. An attempt was made to relate maximum skin dose to DAP for individual procedures, by means of a "concentration factor". This was simply the ratio of the maximum calculated skin dose, to the sum of doses at all points in the dose map. Peak skin dose was predicted for each patient using the product of DAP and concentration factor, together with a constant that forced the regression line between predicted and measured doses to have a gradient of one.

Comparison of calculated and measured doses
A dose survey has previously been carried out in our cardiac catheterization laboratory, using Kodak EDR2 film to measure the skin dose distribution across the patient's back [12]. The current study employed the dose model to calculate a dose map for each of the patients included in the survey. The maximum doses determined by the two methods were compared.

The calculated skin dose maps were first compared visually with the films. Patients were excluded from the study if the region of maximum dose predicted by the model was outside the area of the film.

For the subset of films that showed no saturation, the Pearson correlation coefficients between calculated and measured maximum doses were computed. This subset included 14 CA and 20 PTCA procedures.


    Results
 Top
 Abstract
 Introduction
 Method
 Results
 Discussion
 Conclusion
 References
 
Figure 2Go shows an example of the data output from the skin dose model. A visual comparison with the corresponding dosimetry film (Figure 3Go) shows that the region of maximum dose has been correctly identified. The fields visible on the calculated dose map can be broadly matched with some of those appearing on the film. However, fields arising from purely fluoroscopic exposures are seen only on the film, since the model has no projection data for fluoroscopy.


Figure 2
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Figure 2. Example output from dose model.

 

Figure 3
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Figure 3. Dosimetry film for the patient whose calculated skin dose map is shown inFigure 2Go.

 
Figure 4Go shows the calculated doses for procedures resulting in film saturation, for each version of the dose model. The film saturates at about 1 Gy, so saturation indicates a skin dose of 1 Gy or more [15].


Figure 4
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Figure 4. Calculated doses for procedures that resulted in film saturation, using each version of the dose model. Fluoro Correction 1 uses DAP, 2 uses fluoroscopy time, 3 uses concentration factor to estimate the contribution from fluoroscopy.

 
The most basic form of the dose model, which includes only acquisition data, generally predicted doses of at least 800 mGy for these procedures. However, in one case, a dose of only 332 mGy was computed. Although this patient had a maximum skin dose of at least 1 Gy and may therefore be at risk of deterministic effects, the model would not have identified her as having received a dose that may be of concern.

On applying any of the correction methods to include the contribution from fluoroscopy, the calculated dose to this patient increased to more than 1 Gy. When corrected by fluoroscopy time or concentration factor, the model successfully identified all procedures that resulted in film saturation. When adjusted by the ratio of displayed to calculated DAP, the model predicted one of these patients to have a maximum skin dose of 928 mGy, and all others to have maximum doses of more than 1 Gy.

GoGoGoFigures 5–8Go show calculated versus measured doses for all the procedures that did not result in film saturation, i.e. for which measured doses were less than 1 Gy. The error bars show the expected uncertainty in film dosimetry measurements [12]. In each case, a trend line has been fitted, that passes through the origin. The equation of the trend line and the square of the Pearson correlation coefficient are shown on each figure.


Figure 5
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Figure 5. Calculated versus measured doses, using only acquisition data.

 

Figure 6
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Figure 6. Calculated versus measured doses, using dose–area product (DAP) to estimate the contribution from fluoroscopy.

 

Figure 7
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Figure 7. Calculated versus measured doses, using fluoroscopy time to estimate the contribution from fluoroscopy.

 

Figure 8
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Figure 8. Calculated versus measured doses, using concentration factor to estimate the contribution from fluoroscopy.

 
When using only the acquisition data, the gradient of the trend line was 0.735 (Figure 5Go), suggesting that the model underestimates doses by 26% on average. There was a strong correlation between calculated and measured doses (R2 = 0.672).

On using DAP or fluoroscopy time to estimate the contribution from fluoroscopy the gradient of the trend line was closer to 1 (GoFigures 6 and 7Go). The strength of the correlation also increased (R2 = 0.708 and R2 = 0.716, respectively).

The product of concentration factor and DAP was multiplied by 181 000, to force the gradient of the trend line to 1 (Figure 8Go). This method gave the strongest correlation between calculated and measured doses (R2 = 0.735).


    Discussion
 Top
 Abstract
 Introduction
 Method
 Results
 Discussion
 Conclusion
 References
 
For doses of up to 1 Gy, maximum skin doses computed using the model correlate well with those measured using Kodak EDR2 film. Unlike film dosimetry, the model has no limit on the magnitude of the doses that can be evaluated.

Using only the acquisition data stored in the DICOM files can lead to large errors in dosimetry for examinations involving long fluoroscopy times and few projections. Three options for including an estimated contribution from fluoroscopy were explored. Each improved the accuracy of the model for procedures involving a large proportion of fluoroscopy, and predicted doses of at least 928 mGy for all procedures resulting in film saturation. The method using displayed DAP together with a "concentration factor" gave the strongest correlation between calculated and measured doses. Using this method, 95% of calculated doses were within ± 270 mGy of measured doses, for films showing no saturation.

Each method for including the contribution from fluoroscopy requires additional information (either DAP or fluoroscopy time) that is not stored in the image files and must therefore be obtained from another source. At present, displayed DAP and fluoroscopy time for all procedures are manually recorded in a book, and in an Oracle database (Oracle Corporation, Redwood Shores, CA). In the near future, these may be automatically stored in a new catheterization laboratory information system.

It is hoped that clinical application of the dose model can eventually be completely automated – to extract the relevant data from the image files and obtain the fluoroscopy time from the information system or database as each examination is completed, to calculate the skin dose distribution and alert a member of staff if the maximum dose exceeds a certain threshold. This would enable staff to follow up at-risk patients by examining their skin and warning them of potential effects before they leave the hospital.

The accuracy of the model is limited by a number of unknown variables, about which assumptions have had to be made. No exposure factors are stored for fluoroscopy, as has been previously discussed, necessitating an estimation of the contribution to total dose from the fluoroscopic parts of the procedure. The actual couch position for each procedure is not known, so it is necessary to assume a certain couch height, and to ignore any horizontal movement. No information about secondary collimation or the use of the wedge filter is available, so these must be assumed not to have been used.

Improved accuracy is dependent on manufacturers building in the facilities to make this information available. Whilst den Boer et al [17] and Chugh et al [18] have worked with equipment manufacturers to develop real-time skin dose monitoring software that utilizes much of this information, none is currently available for purchase.

As with film dosimetry, the model considers only those radiation beams that pass through the plane of the couch, and ignores any contributions to skin dose from lateral views. A potential improvement would be to use a three-dimensional model of the patient to estimate skin doses over the whole surface of the thorax. However, this would require couch positioning data, to achieve any degree of accuracy.


    Conclusion
 Top
 Abstract
 Introduction
 Method
 Results
 Discussion
 Conclusion
 References
 
A dose model has been developed to calculate the skin dose distribution across the patient's back from cardiac catheterization procedures. This utilizes the exposure and projection data stored in the DICOM image files, as well as DAP or fluoroscopy time. Maximum doses calculated by the model correlated well with those measured using Kodak EDR2 film. After applying a correction to include the estimated contribution from fluoroscopy, the model successfully identified patients receiving skin doses in excess of 1 Gy. It is hoped to automate the dose model for use as a routine dosimetry tool in the cardiac catheterization laboratory.

The accuracy of the model is limited by several unknown variables that are not recorded by the imaging system. Improvement of dosimetric accuracy is dependent upon manufacturers developing methods for storing and accessing this information.


    Acknowledgments
 
We are grateful to Dr Nick Gibson for his assistance with the Matlab code, and to Prof. Alan Perkins for helpful discussions.

Received for publication April 22, 2005. Revision received May 17, 2006. Accepted for publication June 20, 2006.


    References
 Top
 Abstract
 Introduction
 Method
 Results
 Discussion
 Conclusion
 References
 

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  2. D'Incan M, Roger H, le Boudec MCF, Souteyrand P. Radiodermatitis following cardiac catheterization. Arch Dermatol 1997;133:242–3.[CrossRef][Medline]
  3. Dehen L, Vilmer C, Humiliere C, Corcos T, Pentousis D, Ollivaud L, et al. Chronic radiodermatitis following cardiac catheterisation: a report of two cases and a brief review of the literature. Heart 1999;81:308–12.[Abstract/Free Full Text]
  4. Shope TB. Radiation-induced skin injuries from fluoroscopy. Radiographics 1996;16:1195–9.[Abstract]
  5. Vanõ E, Goicolea J, Galvan C, Gonzalez L, Meiggs L, Ten JI, et al. Skin radiation injuries in patients following repeated coronary angioplasty procedures. Br J Radiol 2001;74:1023–31.[Abstract/Free Full Text]
  6. Vanõ E, Arranz L, Sastre JM, Moro C, Ledo A, Garate MT, et al. Dosimetric and radiation protection considerations based on some cases of patient skin injuries in interventional cardiology. Br J Radiol 1998;71:510–6.[Abstract]
  7. International Commission on Radiological Protection. Report 85: Avoidance of radiation injuries from medical interventional procedures. Ann ICRP 2000;30:45–7.
  8. van de Putte S, Verhaegen F, Taeymans Y, Thierens H. Correlation of patient skin doses in cardiac interventional radiology with dose-area product. Br J Radiol 2000;73:504–13.[Abstract]
  9. Vanõ E, Gonzalez L, Ten JI, Fernandez JM, Guibelalde E, Macaya C. Skin dose and dose-area product values for interventional cardiology procedures. Br J Radiol 2001;74:48–55.[Abstract/Free Full Text]
  10. Waite JC, Fitzgerald M. An assessment of methods for monitoring entrance surface dose in fluoroscopically guided interventional procedures. Radiat Prot Dosim 2001;94:89–92.[Abstract]
  11. Delichas MG, Psarrakos K, Giannoglou G, Molyvda-Athanasopoulou E, Hatziioannou K, Papanastassiou E. Skin doses to patients undergoing coronary angiography in a Greek hospital. Radiat Prot Dosim 2005;113:449–52.[Abstract/Free Full Text]
  12. Morrell RE, Rogers AT. Kodak EDR2 film for patient skin dose assessment in cardiac catheterization procedures. Br J Radiol 2006;79:603–7.[Abstract/Free Full Text]
  13. Guibelalde E, Vanõ E, Gonzalez L, Prieto C, Fernandez JM, Ten JI. Practical aspects for the evaluation of skin doses in interventional cardiology using a new slow film. Br J Radiol 2003;76:332–6.[Abstract/Free Full Text]
  14. Vanõ E, Prieto C, Fernandez JM, Gonzalez L, Sabate M, Galvan C. Skin dose and dose-area product values in patients undergoing intracoronary brachytherapy. Br J Radiol 2003;76:32–8.[Abstract/Free Full Text]
  15. Morrell RE, Rogers A. Calibration of Kodak EDR2 film for patient skin dose assessment in cardiac catheterization procedures. Phys Med Biol 2004;49:5559–70.[CrossRef][Medline]
  16. National Electrical Manufacturers Association. Digital Imaging and Communications in Medicine (DICOM). Part 6: Data Dictionary (PS 3.6-2006). Rosslyn, Virginia: National Electrical Manufacturers Association, 2006
  17. den Boer A, de Feijter PJ, Serruys PW, Roelandt JRTC. Real-time quantification and display of skin radiation during coronary angiography. Circulation 2001;104:1779–84.[Abstract/Free Full Text]
  18. Chugh K, Dinu P, Bednarek DR, Wobschall D, Rudin S, Hoffmann K, et al. A computer-graphic display for real-time operator feedback during interventional x-ray procedures. Proc Soc Photo-Opt Instrum Eng 2004;5367:464–73.



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This Article
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